212112100101 has 16 divisors (see below), whose sum is σ = 308750165568. Its totient is φ = 128459673600.

The previous prime is 212112100099. The next prime is 212112100133. The reversal of 212112100101 is 101001211212.

212112100101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212112100101 - 2¹ = 212112100099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112100201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2281596 + ... + 2372741.

It is an arithmetic number, because the mean of its divisors is an integer number (19296885348).

Almost surely, 2^212112100101 is an apocalyptic number.

It is an amenable number.

212112100101 is a deficient number, since it is larger than the sum of its proper divisors (96638065467).

212112100101 is a wasteful number, since it uses less digits than its factorization.

212112100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4655732.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 212112100101 its reverse (101001211212), we get a palindrome (313113311313).

Subtracting from 212112100101 its reverse (101001211212), we obtain a square (111110888889 = 333333²).

It can be divided in two parts, 212112 and 100101, that added together give a palindrome (312213).

The spelling of 212112100101 in words is "two hundred twelve billion, one hundred twelve million, one hundred thousand, one hundred one".